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QM: The Dilation operator

  • Thread starter Keyoke
  • Start date
  • #1
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Homework Statement



Concicer the dilation operator

[itex] D = \vec{r} * \vec{p}[/itex]

Compute [itex] [D,\vec{r} ] and [D, \vec{p}] [/itex]

Homework Equations



[itex] p = - i * hbar [/itex]


The Attempt at a Solution


I think the question is really if [itex] [D, \vec{r}] [/itex] commutes

I got this:
[itex] D = \vec{r} * \vec{p}[/itex]
[itex] D = x p_x + y p_y + z p_z[/itex]


for the x direction:

[itex][D, r] = [D, x] = [x, x p_x][/itex]

where do i take it from here?

Homework Statement





Homework Equations





The Attempt at a Solution

 

Answers and Replies

  • #2
dextercioby
Science Advisor
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You have absolutely no idea ?? Pick up your book and find those brackets (called <commutator>) and the properties they have.
 

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